Jeffrey, as an eight-year old, established a mean time of 16.43 seconds for swimming the 25-yard freestyle, with a known standard deviation of 0.8 seconds. His dad, Frank, thought that Jeffrey could swim the 25-yard freestyle faster using goggles. Frank bought Jeffrey a new pair of expensive goggles and timed Jeffrey for 25-yard freestyle swims with 15 trials. For the 15 swims, Jeffrey's mean time was 16 seconds. Frank thought that the goggles helped Jeffrey to swim faster than the 16.43 seconds. Q1. What does the significance level represent in the context of given scenario? A. Type I error. The probability that Jeffery is proved to swim slower by wearing goggle given the belief that Jeffery swims faster by wearing goggle. B. Type I error. The probability that Jeffery is proved to swim faster by wearing goggle given the belief that Jeffery swims slower by wearing goggle. C. Type II error. The probability that Jeffery is proved to swim slower by wearing goggle given the belief that Jeffery swims faster by wearing goggle. D. Type II error. The probability that Jeffery is proved to swim faster by wearing goggle given the belief that Jeffery swims slower by wearing goggle
Jeffrey, as an eight-year old, established a mean time of 16.43 seconds
for swimming the 25-yard freestyle, with a known standard deviation
of 0.8 seconds. His dad, Frank, thought that Jeffrey could swim
the 25-yard freestyle faster using goggles. Frank bought Jeffrey a
new pair of expensive goggles and timed Jeffrey for 25-yard freestyle
swims with 15 trials. For the 15 swims, Jeffrey's mean time was 16
seconds. Frank thought that the goggles helped Jeffrey to swim faster
than the 16.43 seconds.
Q1. What does the significance level represent in the context of given scenario?
A. Type I error. The probability that Jeffery is proved to swim slower by wearing goggle given the belief that Jeffery swims faster by wearing goggle.
B. Type I error. The probability that Jeffery is proved to swim faster by wearing goggle given the belief that Jeffery swims slower by wearing goggle.
C. Type II error. The probability that Jeffery is proved to swim slower by wearing goggle given the belief that Jeffery swims faster by wearing goggle.
D. Type II error. The probability that Jeffery is proved to swim faster by wearing goggle given the belief that Jeffery swims slower by wearing goggle.
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